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Finding the Fourth Proportional to 295.92, 444.28 and 166.16

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Solution

The fourth proportional to 295.92, 444.28 and 166.16 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 444.28 = 166.16 : x
  2. Step 2: Convert to fraction form
    295.92/444.28 = 166.16/x
  3. Step 3: Cross multiply
    295.92x = 444.28 × 166.16
  4. Step 4: Simplify right side
    295.92x = 73,821.56
  5. Step 5: Solve for x
    x = 73,821.56/295.92
  6. Step 6: Final answer
    x = 249.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.